Expression of type ExprTuple

from the theory of proveit.linear_algebra.addition

import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import ExprTuple, Function, k, t, v, vk
from proveit.linear_algebra import VecSum
from proveit.numbers import Exp, Interval, one, subtract, two, zero

# build up the expression from sub-expressions
sub_expr1 = Exp(two, t)
expr = ExprTuple(VecSum(index_or_indices = [k], summand = vk, domain = Interval(zero, subtract(sub_expr1, one))), Function(v, [sub_expr1]))

expr:

# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")

Passed sanity check: expr matches stored_expr

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\left(\sum_{k=0}^{2^{t} - 1} v\left(k\right), v\left(2^{t}\right)\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Operation	operator: 3 operand: 6
2	Operation	operator: 10 operand: 22
3	Literal
4	ExprTuple	6
5	ExprTuple	22
6	Lambda	parameter: 14 body: 7
7	Conditional	value: 8 condition: 9
8	Operation	operator: 10 operand: 14
9	Operation	operator: 12 operands: 13
10	Variable
11	ExprTuple	14
12	Literal
13	ExprTuple	14, 15
14	Variable
15	Operation	operator: 16 operands: 17
16	Literal
17	ExprTuple	18, 19
18	Literal
19	Operation	operator: 20 operands: 21
20	Literal
21	ExprTuple	22, 23
22	Operation	operator: 24 operands: 25
23	Operation	operator: 26 operand: 30
24	Literal
25	ExprTuple	28, 29
26	Literal
27	ExprTuple	30
28	Literal
29	Variable
30	Literal